Exponential Growth & Decay

1. May 26, 2013

Buckled

A rabbit population satisfies the logistic equation dy/dt=2*10^-7y(10^6-y) where t is the time measured in months. The population is suddenly reduced to 40%of its steady state size by myxomatosis.
a) If the myxo' then has no effect how large is the population 8 months later?
b)How long will it take for the population to build up again to 90% of its steady state size?

2. May 26, 2013

danago

What have you tried so far? The first step will be to solve the differential equation to find the function y(t)